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1444435050 = 235259227719
BaseRepresentation
bin101011000011000…
…0101010001101010
310201122221220101110
41112012011101222
510424233410200
6355155131150
750536331622
oct12606052152
93648856343
101444435050
11681389483
123438a3ab6
131a0338bc6
14d9b9b882
1586c20b50
hex5618546a

1444435050 has 96 divisors (see below), whose sum is σ = 3664051200. Its totient is φ = 376461760.

The previous prime is 1444435033. The next prime is 1444435061. The reversal of 1444435050 is 505344441.

It is a super-2 number, since 2×14444350502 = 4172785227337005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1444434999 and 1444435017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2008591 + ... + 2009309.

It is an arithmetic number, because the mean of its divisors is an integer number (38167200).

Almost surely, 21444435050 is an apocalyptic number.

1444435050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444435050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832025600).

1444435050 is an abundant number, since it is smaller than the sum of its proper divisors (2219616150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1444435050 is a wasteful number, since it uses less digits than its factorization.

1444435050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 1444435050 is about 38005.7239110111. The cubic root of 1444435050 is about 1130.4013636752.

Adding to 1444435050 its reverse (505344441), we get a palindrome (1949779491).

It can be divided in two parts, 14444 and 35050, that added together give a palindrome (49494).

The spelling of 1444435050 in words is "one billion, four hundred forty-four million, four hundred thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 150 177 227 295 354 454 590 681 719 885 1135 1362 1438 1475 1770 2157 2270 2950 3405 3595 4314 4425 5675 6810 7190 8850 10785 11350 13393 17025 17975 21570 26786 34050 35950 40179 42421 53925 66965 80358 84842 107850 127263 133930 163213 200895 212105 254526 326426 334825 401790 424210 489639 636315 669650 816065 979278 1004475 1060525 1272630 1632130 2008950 2121050 2448195 3181575 4080325 4896390 6363150 8160650 9629567 12240975 19259134 24481950 28888701 48147835 57777402 96295670 144443505 240739175 288887010 481478350 722217525 1444435050